Answer:

Simplifying

5(X + -2) + 2X = 7(X + 4) + -38

Reorder the terms:

5(-2 + X) + 2X = 7(X + 4) + -38

(-2 * 5 + X * 5) + 2X = 7(X + 4) + -38

(-10 + 5X) + 2X = 7(X + 4) + -38

Combine like terms: 5X + 2X = 7X

-10 + 7X = 7(X + 4) + -38

Reorder the terms:

-10 + 7X = 7(4 + X) + -38

-10 + 7X = (4 * 7 + X * 7) + -38

-10 + 7X = (28 + 7X) + -38

Reorder the terms:

-10 + 7X = 28 + -38 + 7X

Combine like terms: 28 + -38 = -10

-10 + 7X = -10 + 7X

Add '10' to each side of the equation.

-10 + 10 + 7X = -10 + 10 + 7X

Combine like terms: -10 + 10 = 0

0 + 7X = -10 + 10 + 7X

7X = -10 + 10 + 7X

Combine like terms: -10 + 10 = 0

7X = 0 + 7X

7X = 7X

Add '-7X' to each side of the equation.

7X + -7X = 7X + -7X

Combine like terms: 7X + -7X = 0

0 = 7X + -7X

Combine like terms: 7X + -7X = 0

0 = 0

Solving

0 = 0

Step-by-step explanation: